Calculating Time of Flight for Artillery Shell

In summary, the conversation discusses the calculation of the total time of flight for an artillery shell fired at an angle of 85.1 degrees with an initial speed of 1960 m/s. The use of kinematics equations is suggested to solve the problem, and the idea of considering the horizontal velocity as equivalent to a vertically fired shell is mentioned. It is recommended to draw a force triangle to find the vertical component of the velocity.
  • #1
streetracer14
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I am completely lost on this one; An artillery shell is fired at an angle of 85.1 degrees above the horizontal ground with an initial speed of 1960 m/s. The acceleration of gravity is 9.8 m/s/s. Find the total time of flight. Can someone do it and explain how to do it?? Thanks so much!
 
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  • #3
The trick to these questions is that no forces act on the shell horizontally so it is equivalent to a shell fired vertically with a certain velocity.
You find the vertical componnet of the velocity by drawing a 'force triangle' if the shell goes at 1960m/s at that angle draw a triangle with this as the hypotonuse and the angle given in the question.
 

Related to Calculating Time of Flight for Artillery Shell

1. How do you calculate the time of flight for an artillery shell?

The time of flight for an artillery shell can be calculated using the equation t = √(2d/g), where t is the time of flight in seconds, d is the horizontal distance in meters, and g is the acceleration due to gravity (9.8 m/s²).

2. What factors affect the time of flight for an artillery shell?

The time of flight for an artillery shell is affected by several factors, including the initial velocity of the shell, the angle of elevation, air resistance, and wind speed. These factors can impact the trajectory and therefore the time it takes for the shell to reach its target.

3. How does air resistance impact the time of flight for an artillery shell?

Air resistance, also known as drag, slows down the speed of the artillery shell as it travels through the air. This can result in a longer time of flight as the shell takes longer to reach its target. The amount of air resistance depends on the shape and size of the shell, as well as the air density and speed of the wind.

4. Can the time of flight for an artillery shell be calculated for different elevations?

Yes, the time of flight for an artillery shell can be calculated for different elevations by adjusting the angle of elevation in the equation. The angle of elevation directly affects the horizontal distance the shell will travel, and therefore, the time of flight will vary for different elevations.

5. How accurate is the calculation of time of flight for an artillery shell?

The calculation of time of flight for an artillery shell is an estimate and may not be 100% accurate due to factors such as air resistance, wind speed, and elevation changes. However, it can provide a good approximation for the time it takes for the shell to reach its target and can be useful for military and scientific purposes.

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